list ranking on gpus n.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
List Ranking on GPUs PowerPoint Presentation
Download Presentation
List Ranking on GPUs

Loading in 2 Seconds...

play fullscreen
1 / 18

List Ranking on GPUs - PowerPoint PPT Presentation


  • 98 Views
  • Uploaded on

List Ranking on GPUs. Sathish Vadhiyar. List Ranking on GPUs. Linked list prefix computations – computations of prefix sum on the elements contained in a linked list Irregular memory accesses – successor of each node of a linked list can be contained anywhere

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'List Ranking on GPUs' - bat


Download Now An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
list ranking on gpus

List Ranking on GPUs

SathishVadhiyar

list ranking on gpus1
List Ranking on GPUs
  • Linked list prefix computations – computations of prefix sum on the elements contained in a linked list
  • Irregular memory accesses – successor of each node of a linked list can be contained anywhere
  • List ranking – special case of list prefix computations in which all the values are identity, i.e., 1.
list ranking
List ranking
  • L is a singly linked list
  • Each node contains two fields – a data field, and a pointer to the successor
  • Prefix sums – updating data field with summation of values of its predecessors and itself
  • L represented by an array X with fields X[i].prefix and X[i].succ
sequential algorithm
Sequential Algorithm
  • Simple and effective
  • Two passes
    • Pass 1: To identify the head node
    • Pass 2: Traverses starting from the head, follow the successor nodes accumulating the prefix sums in the traversal order
  • Works well in practice
parallel algorithm prefix computations on arrays
Parallel Algorithm: Prefix computations on arrays
  • Array X partitioned into subarrays
  • Local prefix sums of each subarray calculated in parallel
  • Prefix sums of last elements of each subarray written to a separate array Y
  • Prefix sums of elements in Y are calculated.
  • Each prefix sum of Y is added to corresponding block of X
  • Divide and conquer strategy
example
Example

123456789

  • 456 789

1,3,6 4,9,15 7,15,24

6,15,24

6,21,45

1,3,6,10,15,21,…

prefix computation on list
Prefix computation on list
  • The previous strategy cannot be applied here
  • Division of array X that represents list will lead to subarrays each of which can have many submits fragments
  • Head nodes will have to be calculated for each of them
parallel list ranking wyllie s algorithm
Parallel List Ranking (Wyllie’s algorithm)
  • Involved repeated pointer jumping
  • Successor pointer of each element is repeatedly updated so that it jumps over its successor until it reaches the end of the list
  • As each processor traverses and updates the successor, the ranks are updated
  • A process or thread is assigned to each element of the list
parallel list ranking wyllie s algorithm1
Parallel List Ranking (Wyllie’s algorithm)
  • Will lead to high synchronizations among CUDA threads, many kernel invocations
parallel list ranking helman and jaja
Parallel List Ranking (Helman and JaJa)
  • Randomly select s nodes or splitters. The head node is also a splitter
  • Form s sublists. In each sublist, start from a splitter as the head node, and traverse till another splitter is reached.
  • Form prefix sums in each sublist
  • Form another list, L’, consisting of only these splitters in the order they are traversed. The values in each entry of this list will be the prefix sum calculated in the respective sublists
  • Calculate prefix sums for this list
  • Add these sums to the values of the sublists
parallel list ranking on gpus steps
Parallel List Ranking on GPUs: Steps
  • Step 1: Compute the location of the head of the list
  • Each of the indices between 0 and n-1, except head node, occur exactly only once in the successors.
  • Hence head node = n(n-1)/2 – SUM_SUCC
  • SUM_SUCC = sum of the successor values
  • Can be done on GPUs using parallel reduction
parallel list ranking on gpus steps1
Parallel List Ranking on GPUs: Steps
  • Step 2: Select s random nodes to split list into s random sublists
  • For every subarray of X of size X/s, select random location as a splitter.
  • Highly data parallel, can be done independent of each other
parallel list ranking on gpus steps2
Parallel List Ranking on GPUs: Steps
  • Step 3: Using standard sequential algorithm, compute prefix sums of each sublist separately
  • The most computationally demanding step
  • s sublists allocated equally among CUDA blocks, and then allocated equally among threads in a block
  • Each thread computes prefix sums of each of its sublists, and copy prefix value of last element of sublisti to Sublist[i]
parallel list ranking on gpus steps3
Parallel List Ranking on GPUs: Steps
  • Step 4: Compute prefix sum of splitters, where the successor of a splitter is the next splitter encountered when traversing the list
  • This list is small
  • Hence can be done on CPU
parallel list ranking on gpus steps4
Parallel List Ranking on GPUs: Steps
  • Step 5: Update values of prefix sums computed in step 3 using splitter prefix sums of step 4
  • This can be done using coalesced memory access
choosing s
Choosing s
  • Large values of s increase the chance of threads dealing with equal number of nodes
  • However, too large values result in overhead of sublist creation and aggregation
references
References
  • Fast and Scalable List Ranking on the GPU. ICS 2009.
  • Optimization of Linked List Prefix Computations on Multithreaded GPUs Using CUDA. IPDPS 2010.